Application of VIM Method for Nonlinear Porous Media Equations

E. Abdolmaleki^1, and S.A. Yousefi²

¹Department of Applied Mathematics, Tonekabon Branch, Islamic Azad University, Tonekabon, Iran

²Department of Applied Mathematics, Shahid Beheshti University, Tehran, Iran

Cite this paper:
E. Abdolmaleki and S.A. Yousefi. Application of VIM Method for Nonlinear Porous Media Equations. American Journal of Numerical Analysis. 2014; 2(1):11-13. doi: 10.12691/ajna-2-1-3

Abstract

In this paper, we applied He’s variational iteration method (VIM) to solve nonlinear porous media equations. The main advantage of this method is the flexibility to give approximate solutions to nonlinear problems without linearization or discretization. The results show that this method is simple and effective.

Keywords:
nonlinear heat equation degenerate parabolic differential equation porous media equation variational iteration method

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